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Surnachev, Mikhail Dmitrievich

Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 20
Presentations: 15

Number of views:
This page:2813
Abstract pages:4183
Full texts:986
References:482
Doctor of physico-mathematical sciences (2017)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Website: https://caa.imamod.ru
Keywords: p-Laplacian, nonlinear heat equation, Emden-Fowler, stabilization, regularity, Harnack inequality, p(x)-Laplacian, Muckenhoupt weights, admissible weights, conservation laws
UDC: 517.956
MSC: 35K65, 35K67,35K92, 35J61,35J62, 35J92, 35L05

Subject:

nonlinear PDEs of elliptic and parabolic type, stabilization of solutions, Sobolev-Orlicz spaces, degenerate equations, p-Laplacian, Emden-Fowler type equations, asymptotics, conservation laws

   
Main publications:
  1. M.D. Surnachev, “Stabilization of Solutions to the Dirichlet Problem in a Cylindrical Domain for the Parabolic p-Laplacian”, Journal of Mathematical Sciences, 219:2 (2016), 275-299
  2. M.D. Surnachev, “Holder continuity of solutions to nonlinear parabolic equations degenerated on a part of the domain”, Journal of Mathematical Sciences, 213:4 (2016), 610-635
  3. M.D. Surnachev, V.V. Zhikov, “On density of smooth functions in weighted sobolev spaces with variable exponents”, St Petersburg Mathematical Journal, 27:3 (2016), 415-436
  4. M.D. Surnachev, “A Harnack inequality for weighted degenerate parabolic equations”, Journal of Differential Equations, 248:8 (2010), 2092-2129
  5. M.D. Surnachev, “Estimates for Emden-Fowler type inequalities with absorption term”, Journal of Mathematical Analysis and Applications, 348:2 (2008), 996-1011

https://www.mathnet.ru/eng/person56226
List of publications on Google Scholar
List of publications on ZentralBlatt
https://elibrary.ru/author_items.asp?authorid=151739
https://orcid.org/0000-0003-4071-5097
https://www.webofscience.com/wos/author/record/S-5312-2016
https://www.scopus.com/authid/detail.url?authorId=16025397300
https://www.researchgate.net/profile/Mikhail_Surnachev

Publications in Math-Net.Ru Citations
2024
1. P. A. Bakhvalov, M. D. Surnachev, “On stability and accuracy of finite-volume schemes on non-uniform meshes”, Keldysh Institute preprints, 2024, 004, 39 pp.  mathnet
2022
2. M. D. Surnachev, “Harnack's Inequality of Weak Type for the Parabolic $p (x)$-Laplacian”, Mat. Zametki, 111:1 (2022),  149–153  mathnet  mathscinet; Math. Notes, 111:1 (2022), 161–165  isi  scopus
3. M. D. Surnachev, “Estimates of solutions to the noncoercive Dirichlet problem for a second order elliptic equation in divergence form with drift from a Kato class”, Zap. Nauchn. Sem. POMI, 519 (2022),  229–263  mathnet
2021
4. P. A. Bakhvalov, M. D. Surnachev, “On analytical families of matrices generating bounded semigroups”, Sib. Zh. Vychisl. Mat., 24:1 (2021),  3–16  mathnet; Num. Anal. Appl., 14:1 (2021), 1–12  isi  scopus 1
5. Yu. A. Alkhutov, M. D. Surnachev, “Interior and boundary continuity of $p(x)$-harmonic functions”, Zap. Nauchn. Sem. POMI, 508 (2021),  7–38  mathnet
2020
6. Yu. A. Alkhutov, M. D. Surnachev, “Hölder Continuity and Harnack's Inequality for $p(x)$-Harmonic Functions”, Trudy Mat. Inst. Steklova, 308 (2020),  7–27  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 1–21  isi  scopus 6
7. Yu. A. Alkhutov, M. D. Surnachev, “Estimates of the fundamental solution for an elliptic equation in divergence form with drift”, Zap. Nauchn. Sem. POMI, 489 (2020),  7–35  mathnet 2
8. Yu. A. Alkhutov, M. D. Surnachev, “Harnack inequality for the elliptic $p(x)$-Laplacian with a three-phase exponent $p(x)$”, Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1329–1338  mathnet  elib; Comput. Math. Math. Phys., 60:8 (2020), 1284–1293  isi  scopus
2019
9. Yu. A. Alkhutov, M. D. Surnachev, “Behavior of solutions of the Dirichlet Problem for the $ p(x)$-Laplacian at a boundary point”, Algebra i Analiz, 31:2 (2019),  88–117  mathnet  elib; St. Petersburg Math. J., 31:2 (2019), 251–271  isi  scopus 19
10. P. A. Bakhvalov, M. D. Surnachev, “Linear schemes with several degrees of freedom for the multidimensional transport equation”, Keldysh Institute preprints, 2019, 074, 44 pp.  mathnet  elib 1
11. P. A. Bakhvalov, M. D. Surnachev, “Linear schemes with several degrees of freedom for the 1D transport equation”, Keldysh Institute preprints, 2019, 073, 40 pp.  mathnet  elib 1
12. P. A. Bakhvalov, M. D. Surnachev, “On transformation of the stable matrices to a block-diagonal form”, Keldysh Institute preprints, 2019, 071, 15 pp.  mathnet  elib 1
13. P. A. Bakhvalov, M. D. Surnachev, “On spectral analysis of numerical schemes for the linear transport equation”, Keldysh Institute preprints, 2019, 070, 28 pp.  mathnet  elib 2
14. Yu. A. Alkhutov, M. D. Surnachev, “Harnack's inequality for the $p(x)$-Laplacian with a two-phase exponent $p(x)$”, Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  8–56  mathnet  elib; J. Math. Sci. (N. Y.), 244:2 (2020), 116–147  scopus 9
2018
15. M. D. Surnachev, “On Harnack’s inequality for $p(x)$-Laplacian”, Keldysh Institute preprints, 2018, 069, 32 pp.  mathnet  elib 10
2015
16. V. V. Zhikov, M. D. Surnachev, “О плотности гладких функций в весовых соболевских пространствах с переменным показателем”, Algebra i Analiz, 27:3 (2015),  95–124  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:3 (2016), 415–436  isi  scopus 17
17. M. D. Surnachev, “On uniqueness of solutions to the problem of stationary diffusion in an incompressible turbulent flow”, Keldysh Institute preprints, 2015, 096, 32 pp.  mathnet
2014
18. M. D. Surnachëv, “Regularity of solutions of parabolic equations with a double nonlinearity and a weight”, Tr. Mosk. Mat. Obs., 75:2 (2014),  309–334  mathnet  elib; Trans. Moscow Math. Soc., 75 (2014), 259–280  scopus 9
2012
19. M. D. Surnachev, “On improved estimates for parabolic equations with double degeneracy”, Trudy Mat. Inst. Steklova, 278 (2012),  250–259  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 241–250  isi  elib  scopus 5
2009
20. M. D. Surnachev, “Asymptotic behavior at infinity for solutions of Emden-Fowler type equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2,  53–56  mathnet  mathscinet  zmath

2019
21. Yu. A. Alkhutov, V. F. Butuzov, V. V. Kozlov, A. A. Kon'kov, A. V. Mikhalev, E. I. Moiseev, E. V. Radkevich, N. Kh. Rozov, V. A. Sadovnichii, I. N. Sergeev, M. D. Surnachev, R. N. Tikhomirov, V. N. Chubarikov, T. A. Shaposhnikova, A. A. Shkalikov, “Vasilii Vasilievich Zhikov”, Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  5–7  mathnet  elib; J. Math. Sci. (N. Y.), 244:2 (2020), 113–115  scopus

Presentations in Math-Net.Ru
1. BOUNARY-VALUE PROBLEMS FOR DIFFERENTIAL FORMS
M. D. Surnachev
Seminar on nonlinear problems of partial differential equations and mathematical physics
May 14, 2024 18:00   
2. ON BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL FORM
M. D. Surnachev
Seminar on nonlinear problems of partial differential equations and mathematical physics
March 5, 2024 18:00   
3. Нелинейные уравнения с частными производными эллиптического и параболического типов, стабилизация решений, законы сохранения
M. D. Surnachev

October 13, 2023 11:00   
4. Оценки решений некоэрцитивных эллиптических задач
M. D. Surnachev

November 11, 2022 15:00
5. On noncoercive elliptic boundary value problems with drift
M. D. Surnachev
Seminar on nonlinear problems of partial differential equations and mathematical physics
October 18, 2022 18:00   
6. Boundary regularity for solutions of second-order elliptic equations with partial Muckenhoupt weight.
Yu. A. Alkhutov, M. D. Surnachev
Seminar on nonlinear problems of partial differential equations and mathematical physics
December 7, 2021 18:00   
7. On regularity of p(x)-harmonic functions
Yu. A. Alkhutov, M. D. Surnachev
Mathematical Colloquium of the Bauman Moscow State Technical University
November 25, 2021 17:30
8. Newtonian estimates of the fundamental solution for stationary convection-diffusion equations
M. D. Surnachev

August 9, 2021 15:50
9. On the regularity of $p(x)$-harmonic functions
M. D. Surnachev
V. I. Smirnov Seminar on Mathematical Physics
March 15, 2021 16:30   
10. New examples of Lavrentiev gap for generalized Orlicz functions
A. S. Baldzhy, M. D. Surnachev
Geometric Theory of Optimal Control
October 7, 2020 16:45   
11. Стабилизация решений задачи Коши-Дирихле для параболического ;p;-Лапласиана в цилиндрической области с неограниченным основанием
M. D. Surnachev
V.P. Mikhailov seminar
February 2, 2017 13:30
12. On the Holder continuity of solutions to parabolic equations with (p,q)-Laplacian
M. D. Surnachev
International Conference on Mathematical Control Theory and Mechanics
July 5, 2015 11:10
13. Nonlinear parabolic equations, degenerating on a part of the domain
M. D. Surnachev
International Conference on Differential Equations and Dynamical Systems
July 8, 2014 11:50
14. О задаче Коши для параболического $p$-лапласиана
M. D. Surnachev
Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics
November 23, 2011 16:00

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